Orthogonal Systems of Spline Wavelets as Unconditional Bases in Sobolev Spaces
Rajula Srivastava (University of Wisconsin-Madison)
Abstract: We exhibit the necessary range for which functions in the Sobolev spaces $L^s_p$ can be represented as an unconditional sum of orthonormal spline wavelet systems, such as the Battle-Lemarié wavelets. We also consider the natural extensions to Triebel-Lizorkin spaces. This builds upon, and is a generalization of, previous work of Seeger and Ullrich, where analogous results were established for the Haar wavelet system.
analysis of PDEsclassical analysis and ODEs
Audience: researchers in the topic
Series comments: Description: A senior graduate student/postdoc series in harmonic analysis, geometric measure theory, and partial differential equations.
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| Organizers: | Bruno Poggi*, Ryan Matzke, Jose Luis Luna Garcia* |
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